{"id":"https://openalex.org/W1515324794","doi":"https://doi.org/10.1109/cdc.2002.1184581","title":"A global separation theorem for a new class of nonlinear observers","display_name":"A global separation theorem for a new class of nonlinear observers","publication_year":2003,"publication_date":"2003-08-27","ids":{"openalex":"https://openalex.org/W1515324794","doi":"https://doi.org/10.1109/cdc.2002.1184581","mag":"1515324794"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1184581","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184581","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025743742","display_name":"Murat Arcak","orcid":"https://orcid.org/0000-0001-9060-4032"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M. Arcak","raw_affiliation_strings":["Department of Electrical, Computer and Systems Engineering, Rensselaer Polytechnic Institute, Troy, NY, USA","Dept. of Electr., Comput., & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical, Computer and Systems Engineering, Rensselaer Polytechnic Institute, Troy, NY, USA","institution_ids":["https://openalex.org/I165799507"]},{"raw_affiliation_string":"Dept. of Electr., Comput., & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA","institution_ids":["https://openalex.org/I165799507"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025743742"],"corresponding_institution_ids":["https://openalex.org/I165799507"],"apc_list":null,"apc_paid":null,"fwci":3.2374,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.90568242,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"1","issue":null,"first_page":"676","last_page":"681"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.8115955591201782},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7832729816436768},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6677883863449097},{"id":"https://openalex.org/keywords/separation-principle","display_name":"Separation principle","score":0.5906214714050293},{"id":"https://openalex.org/keywords/small-gain-theorem","display_name":"Small-gain theorem","score":0.5838267803192139},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5515289306640625},{"id":"https://openalex.org/keywords/state-observer","display_name":"State observer","score":0.5140680074691772},{"id":"https://openalex.org/keywords/contrast","display_name":"Contrast (vision)","score":0.47542646527290344},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.45655930042266846},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.4442150890827179},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4409821927547455},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44054847955703735},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.43093952536582947},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41236236691474915},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16678401827812195},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1665736734867096},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.07323911786079407}],"concepts":[{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.8115955591201782},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7832729816436768},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6677883863449097},{"id":"https://openalex.org/C62431964","wikidata":"https://www.wikidata.org/wiki/Q2271572","display_name":"Separation principle","level":4,"score":0.5906214714050293},{"id":"https://openalex.org/C27385263","wikidata":"https://www.wikidata.org/wiki/Q4165677","display_name":"Small-gain theorem","level":3,"score":0.5838267803192139},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5515289306640625},{"id":"https://openalex.org/C3031470","wikidata":"https://www.wikidata.org/wiki/Q818544","display_name":"State observer","level":3,"score":0.5140680074691772},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.47542646527290344},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.45655930042266846},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.4442150890827179},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4409821927547455},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44054847955703735},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.43093952536582947},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41236236691474915},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16678401827812195},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1665736734867096},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.07323911786079407},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2002.1184581","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184581","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W48997710","https://openalex.org/W1487112583","https://openalex.org/W1548148540","https://openalex.org/W1977840056","https://openalex.org/W1981717790","https://openalex.org/W1995060100","https://openalex.org/W2002964896","https://openalex.org/W2026565374","https://openalex.org/W2042717399","https://openalex.org/W2050361604","https://openalex.org/W2084638859","https://openalex.org/W2090167557","https://openalex.org/W2157030329","https://openalex.org/W2160725977","https://openalex.org/W4205940976","https://openalex.org/W6601973310"],"related_works":["https://openalex.org/W2394201814","https://openalex.org/W2724327981","https://openalex.org/W4388806599","https://openalex.org/W2028365052","https://openalex.org/W2312640604","https://openalex.org/W2321543323","https://openalex.org/W2097731554","https://openalex.org/W2349173030","https://openalex.org/W2472906530","https://openalex.org/W1907960728"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"certainty-equivalence":[3],"implementation":[4],"of":[5,27,33,51],"state-feedback":[6,34],"controllers":[7],"with":[8,56],"a":[9],"new":[10],"nonlinear":[11],"observer":[12,29,40,53],"design":[13],"recently":[14],"introduced":[15],"by":[16],"the":[17,24,38,48,52],"author.":[18],"The":[19,45],"main":[20],"result":[21],"proves":[22],"that":[23],"reduced-order":[25],"variant":[26],"this":[28],"preserves":[30],"global":[31],"stability":[32],"designs.":[35],"In":[36],"contrast,":[37],"full-order":[39],"may":[41],"lead":[42],"to":[43],"instability.":[44],"discrepancy":[46],"between":[47],"two":[49],"forms":[50],"is":[54],"illuminated":[55],"examples.":[57]},"counts_by_year":[{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
